What enzyme is the key enzyme for lipolysis or hydrolysis of TAG?

How is lipolysis regulated by hormones (insulin, glucagons and catecholomine)?

A decrease in insulin will cause HSL-deP to be inactive.
An increase in glucagon and catecholamines will cause HSL-P to be activated
Together this causes an increase in TAGs being broken down to 3FFA + glycerol which will be converted to FFA

What is the difference between HSL and LPL? (HSL)

HSL hyrodlyzes fatty acids at the sn1 and sn3 position; catalyzes the release of the second fatty acid from DAG and release 1 FA forming MAG: key enzyme for breaking down TAGs into FA and glycerol needs to be phosphorylated. THis occurs in the adipose tissue when hormones epinephrine and glucagon are high

What is the difference between HSL and LPL? (LPL)

Synthesized and secreted into the circulation by adipose tissue and muscle; catalyzes the hydrolysis of TAGs to FFA and glycerol
Located in the luminal face of the endothelial cells of capillaries. Translocates to the surface of lipid droplets upon hormonal stimulation
Activated when in the fasted state and control uptake of FA; Fed state increased in adipose tissue; fasted state: increased in muscle